Final answer:
The minimum delay in the distribution is 0 minutes. The distribution is skewed to the right. The percentage of flights delayed less than 6 minutes and more than 6 minutes can be calculated using the cumulative distribution function (CDF) of the distribution. The pros of using the mean and median to present average flight delay are discussed.
Step-by-step explanation:
The minimum delay in this distribution can be determined by finding the value that is to the left of the median and mode. In this case, since the mode is 0 and the median is 6, the minimum delay must be less than 6 minutes. Therefore, the minimum delay is 0 minutes.
A rough sketch of the distribution can be created with a horizontal axis representing the delay times and a vertical axis representing the frequency of each delay time. The distribution would have a peak at 0 minutes since it is the mode and then gradually decrease as the delay times increase.
The distribution is skewed to the right (positively skewed) because the mean is greater than the median. This can be inferred from the fact that the maximum delay time is 25 minutes, which pulls the mean to the right.
To calculate the percentage of flights delayed less than 6 minutes, we can determine the area under the curve to the left of 6 minutes. This can be done using the cumulative distribution function (CDF) of the distribution. Similarly, the percentage of flights delayed more than 6 minutes can be determined by finding the area under the curve to the right of 6 minutes.
The pros of using the mean to present the average flight delay is that it takes into account all the delay times and gives an overall measure of central tendency. The cons are that it can be affected by extreme values like the maximum delay time and may not accurately represent the typical delay experienced by most flights. On the other hand, the median is not affected by extreme values and represents the middle value in the distribution, making it a more robust measure of central tendency.